Least Common Multiple of 9323 and 9330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9323 and 9330 the smallest integer that is 86983590 that is divisible by both numbers.

Least Common Multiple (LCM) of 9323 and 9330 is 86983590.

LCM(9323,9330) = 86983590

LCM of 9323 and 9330

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9323 and 9330

LCM of 9323 and 9330 is 86983590

Least common multiple can be found by multiplying the highest exponent prime factors of 9323 and 9330. First we will calculate the prime factors of 9323 and 9330.

Prime Factorization of 9323


9323 9323
1

Prime factors of 9323 are 9323. Prime factorization of 9323 in exponential form is:

9323 = 93231

Prime Factorization of 9330


2 9330
3 4665
5 1555
311 311
1

Prime factors of 9330 are 2, 3, 5,311. Prime factorization of 9330 in exponential form is:

9330 = 21×31×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9323 and 9330.

LCM(9323,9330) = 21×31×51×3111×93231
LCM(9323,9330) = 86983590

Factors of 9323

List of positive integer factors of 9323 that divides 9323 without a remainder.

1, 9323

Factors of 9330

List of positive integer factors of 9330 that divides 9330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330

Least Common Multiple of 9323 and 9330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9323 and 9330, than apply into the LCM equation.

GCF(9323,9330) = 1
LCM(9323,9330) = ( 9323 × 9330) / 1
LCM(9323,9330) = 86983590 / 1
LCM(9323,9330) = 86983590

Properties of LCM 9323 and 9330

(i) The LCM of 9330 and 9323 is associative

LCM of 9323 and 9330 = LCM of 9330 and 9323

Related Least Common Multiples of 9323

Related Least Common Multiples of 9330

Frequently Asked Questions on LCM of 9323 and 9330

1. What is the LCM of 9323 and 9330?

Answer: LCM of 9323 and 9330 is 86983590.

2. What are the Factors of 9323?

Answer: Factors of 9323 are 1, 9323. There are 2 integers that are factors of 9323. The greatest factor of 9323 is 9323.

3. What are the Factors of 9330?

Answer: Factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330. There are 16 integers that are factors of 9330. The greatest factor of 9330 is 9330.

4. How to Find the LCM of 9323 and 9330?

Answer:

Least Common Multiple of 9323 and 9330 = 86983590

Step 1: Find the prime factorization of 9323

9323 = 9323

Step 2: Find the prime factorization of 9330

9330 = 2 x 3 x 5 x 311

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 86983590 = 2 x 3 x 5 x 311 x 9323

Step 4: Therefore, the least common multiple of 9323 and 9330 is 86983590.